The position of a car is given by x(t)= (2m/s)t^3-(3.6m/s)t what is the acceleration of the car at the moment when it is instantaneously at rest?

The acceleration of the car at the moment when it is at rest is 9.295 m/s^2.
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The position of a car is given by x(t)= (2m/s)t^3-(3.6m/s)t what is the acceleration of the...
The position of a car as a function of time is given by x=(45m)+(−5.5m/s)t+(−8m/s^2)t^2. a. What is the initial position of the car? b. What is the initial velocity of the car? c. What is the acceleration of the car? d. What distance does the car travel during the first 1.0 s? e. What is the average velocity of the car between t=1.0s and t=2.0s?
1)a)The acceleration of a car is given by the function a(t) = sin(t) m / s² at time t s. The average acceleration for 0 ≤ t ≤ π s is _____ m / s². Round your answer to two decimal places. b) The acceleration is given by a(t) = 4t at time t s. The initial position is 1 m, and, the initial velocity is 3 m / s. At time t = 4 s, the position is _____...
A car’s position as a function of time is given by the following equation: x(t) = 5 m/s t + 2.8 m/s2t2– 0.15 m/s3t3. Find the average velocity from 0 to 5 s. Find the instantaneous velocity at 0, 3, and 5 s. Find the average acceleration from 0 to 5 s. Find the instantaneous acceleration at 0, 3, and 5 s. At what POSITIVE time does the car come to rest?
The acceleration of the center of a car when it slams into a brick wall with an initial speed of 20 m/s is given by the equation 2m)e(-20s-1)t a(t) = Until it comes to rest. How long will t take the car to stop, and what distance ill it travel in this time?
4. A car's position as a function of time is given by the following equation: x(t)-5 m/s t+2.8 m/s2 t-0.15 m/s3 t3. a. Find the average velocity from 0 to 5 s b. Find the instantaneous velocity at 0, 3, and 5s. c. Find the average acceleration from 0 to 5 s. d. Find the instantaneous acceleration at 0, 3, and 5 s. e. At what POSITIVE time does the car come to rest?
starting from rest a car travels in a straight; at a constant acceleration a=2m/s^2, for 10 seconds along the x-axis that is level a) find its soedc at t=10s and its velocity b) find its average velocity over delta t=10s c) find the distance it travels in 10s d) find the impulse experienced by a child of mass 30kg during these 10seconds e) find the work done kn fhe child during these 10s f) find the centripetal force exerted on...
A car starts at position x = 0, with an initial velocity of 3.5 m/s and an acceleration of 0 m/s2. What is its position when the elapsed time is 7.4 s? (Please be sure to include units in your answer. Express your answer to one decimal point.)
The position of an object as a function of time is given as x= At^3 + Bt^2 + Ct + D. The constants are A=2.10m/s^3, B=1.00m/s^2, C=-4.10m/s, and D=3.00m. What is the velocity of the object at t = 10.0s? At what time(s) is the object at rest? What is the acceleration of the object t = 0.50s What is the acceleration as a function of time for the time interval from = -10.0s to t=10.0s
Find the position function x(t) of a moving particle with the given acceleration a(t), initial position Xo = x(0), and initial velocity vo = v(O). a(t) = 4(t+3)2, v(0) = - 4, x(0) = 2
Given the equation x=at^p, where x is position, a is acceleration and t is time, what should b be for this equation to be dimensionally accurate? Answers: A p=3 b p=2 C p=-2 D p=-1/2